CN110401032A - A kind of two-way end-on-fire antenna and its optimization method of adjustable gain control - Google Patents
A kind of two-way end-on-fire antenna and its optimization method of adjustable gain control Download PDFInfo
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q1/00—Details of, or arrangements associated with, antennas
- H01Q1/36—Structural form of radiating elements, e.g. cone, spiral, umbrella; Particular materials used therewith
- H01Q1/38—Structural form of radiating elements, e.g. cone, spiral, umbrella; Particular materials used therewith formed by a conductive layer on an insulating support
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q1/00—Details of, or arrangements associated with, antennas
- H01Q1/50—Structural association of antennas with earthing switches, lead-in devices or lightning protectors
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q21/00—Antenna arrays or systems
- H01Q21/0006—Particular feeding systems
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q21/00—Antenna arrays or systems
- H01Q21/06—Arrays of individually energised antenna units similarly polarised and spaced apart
- H01Q21/061—Two dimensional planar arrays
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q23/00—Antennas with active circuits or circuit elements integrated within them or attached to them
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Abstract
The invention discloses a kind of two-way end-on-fire antenna of adjustable gain control and its optimization methods.Belong to antenna technical field, the present invention does not limit unit form, working frequency and the element number of antenna, the present invention introduces weighting matrix on the basis of power transmission efficiency maximizes theoretical to realize the artificial distribution to antenna power is received, that is, realizes the regulation to each beam gain of emission array；The influence of coupling and complex environment between unit can be included in collision matrix using above-mentioned design method, more convenient flexible configuration array element mitigates the work load of array antenna design；Design method proposed by the present invention has a clear superiority compared with traditional array design method, it does not only reach in the case where guaranteeing that end-fire gain is constant, substantially reduce the purpose of antenna size, complicated electromagnetic environment can also be considered wherein, Antenna Design process is greatly simplified, but also realizes the effect of the artificial adjustment of two-way end-fire gain.
Description
Technical field
The invention belongs to antenna technical field, it is related to a kind of two-way end-on-fire antenna of adjustable gain control and its optimization method.
Background technique
Currently, two-way end-on-fire antenna is since the characteristic of its high-gain and bidirectional radiation is in narrow, long, straight communication scenes
(such as long street, Chang Qiao, tunnel, highway, railway, subway and corridor etc.) is widely used.Two-way end-on-fire antenna is often used as
Microwave relay improves link efficiency to inhibit multipath effect.In traditional Array Design, people are largely dependent upon day
The linear array factor, and on the basis of antenna array factor is built upon some simplification and assumes.Therefore, in order to use antenna array factor general
It reads, it is sometimes desirable to extra workload, such as unit decoupling.The method of the two-way end-fire radiation of traditional realization is by two antennas
Battle array is placed back to back, such as two yagi aerials are placed in the opposite direction, however, this design method can undoubtedly make day
The double volume of line, but compared with the design of unidirectional yagi aerial, gain but reduces about 3dB, and up to the present no one does
The end in relation to two-way end-on-fire antenna is crossed to radiation gain study on regulation.
Summary of the invention
The purpose of the present invention is to provide one kind, and weighting can be introduced on the basis of power transmission efficiency maximizes theoretical
Matrix realizes the tune to two-way two beam gains of end-on-fire antenna to realize the artificial distribution to antenna power is received
Control.
The technical scheme is that a kind of two-way end-on-fire antenna of adjustable gain control, including medium substrate, aerial array and
Feeding-network circuits plate；Aerial array is etched on the medium substrate as antenna substrate, the feeding-network circuits plate
Output drive port is connected with the feed port of antenna element by signal wire.
The aerial array is identical by four sizes, is spaced consistent half-wave printed dipole and longitudinally forms.
The antenna substrate is etched copper sheet on medium substrate according to the geomery of aerial array by laser engraving machine
It obtains.
The feeding-network circuits plate separates four branches by one point of four power splitter, each road include phase shifter,
Attenuator and booster circuit.
This method comprises the following steps:
(1), according to the quantity of antenna element and size spacing, the antenna radiation unit of working frequency f is designed；
(2), the antenna radiation unit of step (1) is formed into transmitting antenna array, calculates far field distance, and in aerial array
Receiving antenna is placed respectively in the far field at both ends；
(3), theoretical, the activation profile feelings of optimization transmitting antenna array each unit are maximized using weighted power efficiency of transmission
Condition；
(4), according to the activation profile situation of each unit in the case of the different weights coefficient that optimization obtains in step (3), make
Optimum Excitation needed for recalling array antenna each unit with feeding-network circuits plate；
(5), it makes material object and carries out actual measurement, compare measured result and simulation result；When comparison measured result and imitate
True result is undesirable, repeats step (1) to step (5), until designing satisfactory antenna.
In step (3), theory is maximized using weighted power efficiency of transmission, optimization transmitting antenna array each unit swashs
Encourage distribution situation；The specific operation method is as follows for it:
Firstly, one Transmission system of design, is that the transmitting antenna array of the port n and m test receiving antenna are constituted
One power transmission system；The entire Transmission system is a n+m port network, with (n+m) × (n+m) collision matrix table
Show, as shown in formula (1):
(1) in formula
[at]=[a1,a2,...,an]T,
[ar]=[an+1,an+2,...,an+m]T,
[bt]=[b1,b2,...,bn]T,
[br]=[bn+1,bn+2,...,bn+m]T,
Wherein, feature vector [at] indicate transmitting antenna normalized incident-wave, a1,a2,...,anRespectively indicate 1,2 ..., n
Normalized incident-wave of the port to system, feature vector [ar] indicate receiving antenna normalized incident-wave, an+1,an+2,...,an+m
Indicate n+1, n+2 ..., normalized incident-wave of the port n+m to system, feature vector [bt] indicate transmitting antenna normalization reflection
Wave, b1,b2,...,bnRespectively indicate 1,2 ..., normalization back wave of the port n to system, feature vector [br] indicate to receive day
Line normalizes back wave, bn+1,bn+2,...,bn+mIndicate n+1, n+2 ..., normalization back wave of the port n+m to system, subscript
The transposition of T representing matrix, SttIndicate the collision matrix between emission array each unit, StrIndicate each receiving antenna and transmitting day
Collision matrix between linear array each unit, SrtIndicate emission array each unit to the collision matrix between each receiving antenna, Srr
Indicate the scattering coefficient of each receiving antenna；If entire Transmission system matching is good, then there is [ar]=0 substitutes into formula (1) and obtains:
[br]=[Srt][at] (2)
Power for control transmission antenna array in far-field region is distributed, and introduces weight matrix [W]=diag (w1,w2,...,
wm) can obtain:
[b′r]=[W] [br]=[w1bn+1,w2bn+2,...,wmbn+m]T (3)
Wherein, w1,w2,...,wmTo test antenna n+1 accordingly, the weight coefficient of n+2 ..., n+m have formula (2) and (3)
It can obtain:
[b′r]=[W] [Srt][at]=[S 'rt][at] (4)
Wherein, the far-field region for being placed on transmission array due to testing antenna, therefore the phase difference of each receiving antenna between any two
It ignores, by the power transmission efficiency T between transmitting antenna array and receiving antennaarrayReceiving antenna load is defined as to be connect
The power of receipts and the ratio of transmitting antenna input power, it may be assumed that
When power transmission efficiency maximum, following formula is obtained:
[A′][at]=Tarray[at] (6)
Wherein [A ']=[S 'rt]H[S′rt]；It is obtained in the characteristic value found out by formula (6), maximum eigenvalue is the transmission system
The maximum transmitted efficiency that system is realized, the corresponding feature vector of maximum eigenvalue is Optimum Excitation needed for each antenna element.
The beneficial effects of the present invention are: the present invention does not limit the unit form and working frequency of antenna；The present invention is not yet
Element number is limited, according to demand adjustment unit quantity；The present invention introduces on the basis of power transmission efficiency maximizes theoretical
Weighting matrix realizes the regulation to each beam gain of emission array to realize the artificial distribution to antenna power is received；
The influence of coupling and complex environment between unit can be included in collision matrix using above-mentioned design method, more convenient spirit
Configuration array element living, mitigates the work load of array antenna design；Design method proposed by the present invention is set with traditional array
Meter method does not only reach in the case where guaranteeing that end-fire gain is constant compared to having a clear superiority, substantially reduces antenna size
Purpose, additionally it is possible to consider complicated electromagnetic environment wherein, to greatly simplifie Antenna Design process, but also realize bidirectional end
Penetrate the effect of the artificial adjustment of gain.
Detailed description of the invention
Fig. 1 is antenna pictorial diagram and each parameter schematic diagram in the present invention；
Fig. 2 is antenna emulation and actual measurement reflection coefficient schematic diagram in the present invention；
Fig. 3 is antenna emulation and actual measurement antenna pattern in the present invention.
Specific embodiment
The present invention；A kind of two-way end-on-fire antenna of adjustable gain control, including medium substrate, aerial array and feeding-network circuits
Plate；Aerial array is etched on the medium substrate as antenna substrate, the output drive port of the feeding-network circuits plate
It is connected with the feed port of antenna element by signal wire.
The aerial array is identical by four sizes, is spaced consistent half-wave printed dipole and longitudinally forms.
Wherein, the antenna substrate selects 4003 substrate of Rogers, and the medium substrate of feeding-network circuits plate selects FR-4
Substrate；
The antenna substrate is etched copper sheet on medium substrate according to the geomery of aerial array by laser engraving machine
It obtains；The medium substrate is 4003 medium substrate of Rogers.
The feeding-network circuits plate separates four branches by one point of four power splitter, each road include phase shifter,
Attenuator and booster circuit, and phase shifter, attenuator and booster circuit are welded on FR-4 substrate.
Preferably, this method comprises the following steps:
(1), according to the quantity of antenna element and size spacing, the antenna radiation unit of working frequency f is designed；
(2), the antenna radiation unit of step (1) is formed into transmitting antenna array, calculates far field distance, and in aerial array
Receiving antenna is placed respectively in the far field at both ends；
(3), theoretical, the activation profile feelings of optimization transmitting antenna array each unit are maximized using weighted power efficiency of transmission
Condition；
(4), according to the activation profile situation of each unit in the case of the different weights coefficient that optimization obtains in step (3), make
Optimum Excitation needed for recalling array antenna each unit with feeding-network circuits plate；
(5), it makes material object and carries out actual measurement, compare measured result and simulation result；When comparison measured result and imitate
True result is undesirable, repeats step (1) to step (5), until designing satisfactory antenna.
In step (3), theory is maximized using weighted power efficiency of transmission, optimization transmitting antenna array each unit swashs
Encourage distribution situation；The specific operation method is as follows for it:
Firstly, one Transmission system of design, is that the transmitting antenna array of the port n and m test receiving antenna are constituted
One power transmission system；The entire Transmission system is a n+m port network, with (n+m) × (n+m) collision matrix table
Show, as shown in formula (1):
(1) in formula
[at]=[a1,a2,...,an]T,
[ar]=[an+1,an+2,...,an+m]T,
[bt]=[b1,b2,...,bn]T,
[br]=[bn+1,bn+2,...,bn+m]T,
Wherein, feature vector [at] indicate transmitting antenna normalized incident-wave, a1,a2,...,anRespectively indicate 1,2 ..., n
Normalized incident-wave of the port to system, feature vector [ar] indicate receiving antenna normalized incident-wave, an+1,an+2,...,an+m
Indicate n+1, n+2 ..., normalized incident-wave of the port n+m to system, feature vector [bt] indicate transmitting antenna normalization reflection
Wave, b1,b2,...,bnRespectively indicate 1,2 ..., normalization back wave of the port n to system, feature vector [br] indicate to receive day
Line normalizes back wave, bn+1,bn+2,...,bn+mIndicate n+1, n+2 ..., normalization back wave of the port n+m to system, subscript
The transposition of T representing matrix, SttIndicate the collision matrix between emission array each unit, StrIndicate each receiving antenna and transmitting day
Collision matrix between linear array each unit, SrtIndicate emission array each unit to the collision matrix between each receiving antenna, Srr
Indicate the scattering coefficient of each receiving antenna；If entire Transmission system matching is good, then there is [ar]=0 substitutes into formula (1) and obtains:
[br]=[Srt][at] (2)
Power for control transmission antenna array in far-field region is distributed, and introduces weight matrix [W]=diag (w1,w2,...,
wm) can obtain:
[b′r]=[W] [br]=[w1bn+1,w2bn+2,...,wmbn+m]T (3)
Wherein, w1,w2,...,wmTo test antenna n+1 accordingly, the weight coefficient of n+2 ..., n+m have formula (2) and (3)
It can obtain:
[b′r]=[W] [Srt][at]=[S 'rt][at] (4)
Wherein, the far-field region for being placed on transmission array due to testing antenna, therefore the phase difference of each receiving antenna between any two
It ignores, by the power transmission efficiency T between transmitting antenna array and receiving antennaarrayReceiving antenna load is defined as to be connect
The power of receipts and the ratio of transmitting antenna input power, it may be assumed that
When power transmission efficiency maximum, following formula is obtained:
[A′][at]=Tarray[at] (6)
Wherein [A ']=[S 'rt]H[S′rt]；In the characteristic value found out by formula (6), maximum eigenvalue is exactly that system may be real
Existing maximum transmitted efficiency, the corresponding feature vector of maximum eigenvalue are Optimum Excitation needed for each antenna element.
Preferably, the optimum design method of two-way end-on-fire antenna can be summarized as following steps:
(1), choose has unit of the antenna structure of larger radiation gain as array in the axial direction, and along end-fire
Selected unit longitudinal arrangement is formed n array of ports by direction, while generating bidirectional end to the remote of the both ends of radiation in aerial array
A receiving antenna (test antenna) is respectively placed in field position, to constitute the wireless power transmission system of the port n+2；
(2), entire n terminal port antennae array row is emulated by electromagnetic simulation software (HFSS), and obtains corresponding scattering
Parameter；
(3), the scattering parameter acquired is brought into the feature formula equation (6) of energy transmission Optimum Theory and is solved, obtained
To maximum transmitted efficiency and corresponding feature vector, the corresponding amplitude of optimal excitation and phase can be obtained, received by changing
The weight coefficient of antenna obtains the optimal excitation distribution under different capacity distribution ratio；
(4), amplitude, phase distribution needed for obtaining each port according to the adjusting radio circuit that optimization obtains activation profile；
(5), feed circuit and array antenna are connected, constitutes complete array antenna system, is surveyed by comparative experiments
The relevant nature of the designed antenna of data and the simulation result research obtained.
Preferably, the actual measurement method in step (5), the antenna pattern measured is as shown in figure 3, when receiving antenna
Weight ratio from 0 increase to 1 when, the end-fire gain on one of direction in the E plane of two-way end-fire antenna radiation pattern is from 1.5
Changing to 10.2dBi, and when bi-directional gain is equal, i.e., when weight ratio is 1, the gain of two-way end-on-fire antenna is 9.3dBi,
Since the structure of the aerial array is symmetrically, only to provide the adjustment situation of a direction end-fire gain herein；When-y-axis
On direction (θ=90 °,) end-fire gain when being gradually increased with the increase of weight ratio, on+y-axis direction (θ=90 °,) end-fire gain variation it is very small, be maintained within 1dB；Reason for that can be found out from Fig. 3, be not difficult to send out
Now-y-axis direction (θ=90 °,) end-fire gain becomes larger simultaneously, as can be seen from the figure the secondary lobe in the direction-y is gradually
Become smaller；Therefore, cause-y-axis direction (θ=90 °,) the increased energy of end-fire gain is largely by the side in the direction-y
Valve is provided, rather than from+y-axis direction；Therefore, when the end-fire change in gain in two end-on directions in one of axial direction
When, the influence of the end-fire gain in the axial direction opposite to another be not it is very big, be kept almost within 1dB；Measurement needs
Specific step is as follows:
(1), prepare the equipment that measurement needs, including tested antenna, reference antenna, transmission line, signal generator and vector
Network Analyzer；The tested antenna refers to that the antenna designed, the reference antenna select electromagnetic horn；
(2), reference antenna is connect with signal generator by transmission line, vector network analyzer passes through with tested antenna
Transmission line connection, the distance between reference antenna and tested antenna are d, and reference antenna is placed on the far field of tested antenna；
(3), setting signal frequency generator f, transmission power PT,dB；
(4), the loss l of transmission line between reference antenna and signal generator is measured by vector network analyzerT,dB, quilt
The loss l of transmission line between observation line and vector network analyzerR,dB；
(5), the height of reference antenna and tested antenna is adjusted to same level, measures vector network analyzer reception
The power P arrivedR,dB；
(6), the gain G that reference antenna works in frequency f is setT,dB, the above-mentioned parameter measured is then substituted into formula:
(PR,dB-lR,dB)-(PT,dB+lT,dB)=GT,dB+GR,dB-20log10f-20log10D+147.56 is by being calculated
Gain G of the tested antenna in current test angleR,dB；
(7), it keeps tested antenna motionless, reference antenna is rotated into θ angle, repeats step (5) and step (6)；
(8), the gain G that will be obtained in the case where reference antenna is adjusted to different angleR,dBIt imports in function plotting software
Obtain the antenna pattern of tested antenna.
This patent design by medium substrate, aerial array and feeding-network circuits board group at, have production simple, expense compared with
Low feature；In the design process of antenna, all scattering parameters are obtained by electromagnetic simulation software HFSS15.0 optimization design；This
Invention introduces weighting matrix on the basis of power transmission efficiency maximization is theoretical to realize to the artificial of reception antenna power
Distribution, that is, realize the regulation to each beam gain of emission array；Theory is maximized using power transmission efficiency to be calculated, it can
To directly obtain maximum transmitted efficiency, it means that the radiation characteristic of antenna reaches best；This is that conventional art method can not reach
It arrives.
In order to enable two-way end-on-fire antenna possess good end radiotropism energy, the radiating element of aerial array is not only needed to exist
Good radiation gain is used on end-on direction, it is also necessary to which design can to provide the feed of required corresponding activation profile for array element
Scheme.Traditional aerial array generally pass through feeding network that design matches with its antenna element port to each port of array into
Row feed is to realize desired array radiation performance.Outstanding feeding network design often have occupy little space, price
Cheaply, the advantages that low, radiation is small is lost.But feeding network cannot achieve two-way end-fire gain tune because its is non-adjustable
Control.In the design of feed circuit plate, input signal distributes to symmetrical four branches by power splitter, in order to avoid tributary signal
Between interfere with each other, power splitter by between branch isolation control below -20dB；By the sliding for rotating each branch road
Rheostat changes its resistance value, the regulatory function of the control voltage to attenuator and phase shifter is realized, to realize defeated to each branch
The control of amplitude and phase out can export the optimal of each port in the case of meeting two-way end-on-fire antenna difference weight ratio
Amplitude phase distribution situation；The adjustable extent for being introduced for increasing output voltage of booster circuit in each branch of feed circuit
And guarantee the stability of voltage output, when the total input voltage of feed circuit is 9V, the output voltage 0 of each branch attenuator~
Change within the scope of 9V, the output voltage variation range of each branch phase shifter is 2.5~12V；Input voltage is set to 9V, Ke Yixuan
Battery is selected to power, is avoided using measuring during voltage source and inconvenient to carry；In use it is further noted that battery exists
Voltage can reduce in use process, so before every measurement, we require to check the electricity of battery, in time replacement electricity
Pond.
Four designed unit printed dipole subarrays are to be etched printed dipole subelement in nothing using laser engraving machine
On the Rogers-4003 medium substrate on metal ground, the dielectric constant of the model medium substrate is εr=3.55, loss tangent value is
0.0022；As Fig. 1 is shown as the processing pictorial diagram of four unit centers feed printed dipole antenna array；Each parameter of the aerial array
See Table 1 for details for size.
1 four unit center of table feeds each parameter size of printed dipole antenna array
After the completion of antenna material object manufacture, Agilent N9918A (frequency 30KHz-26.5GHz) vector network analysis is utilized
Instrument measures antenna reflection coefficient S11, by itself and the obtained S of emulation11It compares, as shown in Figure 2；The actual measurement of antenna and emulation base
This is consistent.
The present invention does not limit the unit form and working frequency of antenna；The present invention is also unlimited to determine element number, according to need
Seek adjustment unit quantity；The present invention introduces weighting matrix on the basis of power transmission efficiency maximizes theoretical to realize docking
The artificial distribution for receiving antenna power, that is, realize the regulation to each beam gain of emission array；It can be incited somebody to action using above-mentioned design method
The influence of coupling and complex environment between unit is included in collision matrix, and more convenient flexible configuration array element subtracts
The work load of light array Antenna Design；Design method proposed by the present invention has obvious excellent compared with traditional array design method
Gesture does not only reach in the case where guaranteeing that end-fire gain is constant, substantially reduces the purpose of antenna size, additionally it is possible to by complicated electricity
Magnetic environment considers wherein, to greatly simplifie Antenna Design process, but also realize the effect of the artificial adjustment of two-way end-fire gain.
Claims (6)
1. a kind of two-way end-on-fire antenna of adjustable gain control, which is characterized in that including medium substrate, aerial array and feeding network electricity
Road plate；Aerial array is etched on the medium substrate as antenna substrate, the output drive end of the feeding-network circuits plate
Mouth is connected with the feed port of antenna element by signal wire.
2. a kind of two-way end-on-fire antenna of adjustable gain control according to claim 1, which is characterized in that the aerial array
It is identical by four sizes, it is spaced consistent half-wave printed dipole and longitudinally forms.
3. a kind of two-way end-on-fire antenna of adjustable gain control according to claim 1, it is characterised in that: the antenna base
Copper sheet is etched by laser engraving machine according to the geomery of aerial array and is obtained on medium substrate by plate.
4. a kind of two-way end-on-fire antenna of adjustable gain control according to claim 1, which is characterized in that the feeding network
Circuit board separates four branches by one point of four power splitter, and each road includes phase shifter, attenuator and booster circuit.
5. a kind of optimization method of two-way end-on-fire antenna of adjustable gain control as described in claim 1-4, it is characterised in that: the party
Method includes the following steps:
(1), according to the quantity of antenna element and size spacing, the antenna radiation unit of working frequency f is designed；
(2), the antenna radiation unit of step (1) is formed into transmitting antenna array, calculates far field distance, and at aerial array both ends
Far field place receiving antenna respectively；
(3), theoretical, the activation profile situation of optimization transmitting antenna array each unit is maximized using weighted power efficiency of transmission；
(4), according to the activation profile situation of each unit in the case of the different weights coefficient that optimization obtains in step (3), feedback is used
Optimum Excitation needed for electric network circuit board recalls array antenna each unit；
(5), it makes material object and carries out actual measurement, compare measured result and simulation result；When comparison measured result and emulation are tied
Fruit is undesirable, repeats step (1) to step (5), until designing satisfactory antenna.
6. a kind of optimization method of two-way end-on-fire antenna of adjustable gain control according to claim 4, it is characterised in that: in step
Suddenly in (3), theoretical, the activation profile situation of optimization transmitting antenna array each unit is maximized using weighted power efficiency of transmission；
The specific operation method is as follows for it:
Firstly, one Transmission system of design, is that the transmitting antenna array of the port n and m test receiving antenna constitute one
Power transmission system；The entire Transmission system is a n+m port network, is indicated with (n+m) × (n+m) collision matrix, such as
Shown in formula (1):
(1) in formula
[at]=[a1,a2,...,an]T,
[ar]=[an+1,an+2,...,an+m]T,
[bt]=[b1,b2,...,bn]T,
[br]=[bn+1,bn+2,...,bn+m]T,
Wherein, feature vector [at] indicate transmitting antenna normalized incident-wave, a1,a2,...,anRespectively indicate 1,2 ..., the port n
To the normalized incident-wave of system, feature vector [ar] indicate receiving antenna normalized incident-wave, an+1,an+2,...,an+mIt indicates
N+1, n+2 ..., normalized incident-wave of the port n+m to system, feature vector [bt] indicate that transmitting antenna normalizes back wave,
b1,b2,...,bnRespectively indicate 1,2 ..., normalization back wave of the port n to system, feature vector [br] indicate receiving antenna
Normalize back wave, bn+1,bn+2,...,bn+mIndicate n+1, n+2 ..., normalization back wave of the port n+m to system, subscript T
The transposition of representing matrix, SttIndicate the collision matrix between emission array each unit, StrIndicate each receiving antenna and transmitting antenna
Collision matrix between array each unit, SrtIndicate emission array each unit to the collision matrix between each receiving antenna, SrrTable
Show the scattering coefficient of each receiving antenna；If entire Transmission system matching is good, then there is [ar]=0 substitutes into formula (1) and obtains:
[br]=[Srt][at] (2)
Power for control transmission antenna array in far-field region is distributed, and introduces weight matrix [W]=diag (w1,w2,...,wm) can
:
[b′r]=[W] [br]=[w1bn+1,w2bn+2,...,wmbn+m]T (3)
Wherein, w1,w2,...,wmTo test antenna n+1 accordingly, the weight coefficient of n+2 ..., n+m have formula (2) and (3) can
:
[b′r]=[W] [Srt][at]=[S 'rt][at] (4)
Wherein, since test antenna is placed on the far-field region of transmission array, therefore the phase difference of each receiving antenna between any two is ignored
Disregard, by the power transmission efficiency T between transmitting antenna array and receiving antennaarrayIt is received to be defined as receiving antenna load institute
The ratio of power and transmitting antenna input power, it may be assumed that
When power transmission efficiency maximum, following formula is obtained:
[A′][at]=Tarray[at] (6)
Wherein [A ']=[S 'rt]H[S′rt]；It is obtained in the characteristic value found out by formula (6), maximum eigenvalue is that the Transmission system is real
Existing maximum transmitted efficiency, the corresponding feature vector of maximum eigenvalue are Optimum Excitation needed for each antenna element.
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112531924A (en) * | 2020-10-13 | 2021-03-19 | 电子科技大学 | Method for rapidly designing antenna array based on maximum wireless energy transmission efficiency |
| CN112751208A (en) * | 2020-12-10 | 2021-05-04 | 连云港市气象局 | Intelligent multidirectional end-fire array antenna applied to meteorological information transmission |
| CN113300123A (en) * | 2021-06-03 | 2021-08-24 | 苏州优睿讯电子科技有限公司 | Array antenna gain enhancement technology based on mutual coupling matching method |
| CN113571917A (en) * | 2021-07-13 | 2021-10-29 | 南京信息工程大学 | Design method of multi-feed point polarized reconfigurable antenna |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112531924A (en) * | 2020-10-13 | 2021-03-19 | 电子科技大学 | Method for rapidly designing antenna array based on maximum wireless energy transmission efficiency |
| CN112531924B (en) * | 2020-10-13 | 2022-07-15 | 电子科技大学 | Method for rapidly designing antenna array based on maximum wireless energy transmission efficiency |
| CN112751208A (en) * | 2020-12-10 | 2021-05-04 | 连云港市气象局 | Intelligent multidirectional end-fire array antenna applied to meteorological information transmission |
| CN113300123A (en) * | 2021-06-03 | 2021-08-24 | 苏州优睿讯电子科技有限公司 | Array antenna gain enhancement technology based on mutual coupling matching method |
| CN113571917A (en) * | 2021-07-13 | 2021-10-29 | 南京信息工程大学 | Design method of multi-feed point polarized reconfigurable antenna |
| CN113571917B (en) * | 2021-07-13 | 2023-05-26 | 南京信息工程大学 | Design method of multi-feed point polarization reconfigurable antenna |
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